{
  "id": "math/0510076",
  "version": "v1",
  "published": "2005-10-04T13:11:43.000Z",
  "updated": "2005-10-04T13:11:43.000Z",
  "title": "Inverse problems for parabolic equations 2",
  "authors": [
    "A. G. Ramm"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "Let $u_t-u_{xx}=h(t)$ in $0\\leq x \\leq \\pi, t\\geq 0.$ Assume that $u(0,t)=v(t)$, $u(\\pi,t)=0$, and $u(x,0)=g(t)$. The problem is: {\\it what extra data determine the three unknown functions $\\{h, v, g\\}$ uniquely?}. This question is answered and an analytical method for recovery of the above three functions is proposed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-10-04T13:11:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K20",
      "35R30"
    ],
    "keywords": [
      "parabolic equations",
      "inverse problems",
      "extra data determine",
      "unknown functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....10076R"
    }
  }
}